Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 825 · 40 questions

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

1. 1.Aditya has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
2. 2.A pen costs ₹7 more than a pencil. 4 pens and 7 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
3. 3.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
4. 4.I think of a number, multiply it by 8 and then take away 2. The answer is 174. What is my number?
5. 5.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
6. 6.A pen costs ₹8 more than a pencil. 6 pens and 8 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
7. 7.Solve for x: 4(x + 5) = x + 77. What is x?
8. 8.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹213 in all. What does one pencil cost (in ₹)?
9. 9.Solve for x: 8(x + 8) = 2x + 184. What is x?
10. 10.Solve for x: 6(x + 1) = 2x + 10. What is x?
11. 11.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
13. 13.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
14. 14.I think of a number, multiply it by 9 and then add 18. The answer is 225. What is my number?
15. 15.I think of a number, multiply it by 3 and then take away 15. The answer is 48. What is my number?
16. 16.4 × ? + 16 = 28
17. 17.I think of a number, multiply it by 4 and then add 11. The answer is 87. What is my number?
18. 18.Rohan has 24 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
19. 19.Kavya has 21 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
20. 20.Rahul has 22 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
21. 21.I think of a number, multiply it by 9 and then take away 1. The answer is 251. What is my number?
22. 22.A pen costs ₹6 more than a pencil. 6 pens and 6 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
23. 23.A pen costs ₹2 more than a pencil. 3 pens and 4 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
24. 24.Solve for x: 5(x + 1) = 3x + 31. What is x?
25. 25.Vivaan has 29 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
26. 26.Kavya has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
27. 27.4 × ? − 2 = 82
28. 28.6 × ? + 19 = 61
29. 29.I think of a number, multiply it by 4 and then take away 7. The answer is 53. What is my number?
30. 30.Rahul has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
31. 31.5 × ? − 13 = 7
32. 32.Solve for x: 4(x + 2) = 2x + 30. What is x?
33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
34. 34.Solve for x: 9(x + 2) = x + 42. What is x?
35. 35.2 × ? + 17 = 63
36. 36.Meera has 28 coins, all ₹5 and ₹2 coins, worth ₹131 in all. How many ₹5 coins are there?
37. 37.Kabir has 18 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
38. 38.I think of a number, multiply it by 4 and then take away 16. The answer is 4. What is my number?
39. 39.7 × ? + 4 = 102
40. 40.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹24 in all. What does one pencil cost (in ₹)?

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